非对称Ⅲ型界面裂纹的动态扩展

基金项目:

中国博士后基金(N0.2003033379、No.2005038199)

黑龙江省自然科学基金(ZJG04-08)重点项目资助

Dynamic Propagation of Asymmetrical Mode Ⅲ Interface Crack

1. School of Material Science and Engineering, Shenyang Ligong University, Shenyang, 110168, China;
2. Department of Civil Engineering, Northeastern University, Shenyang, 110006, China;
3. Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin, 150001, China

摘要: 通过复变函数论的方法,对非对称Ⅲ型界面裂纹的动态扩展问题进行了研究。采用自相似函数的方法对坐标原点分别受到变载荷Px/t、Pt³/x²作用下的非对称动态扩展问题进行求解,获得了应力、位移和动态应力强度因子解析解的一般表达式。以数值计算为例说明动态应力强度因子的变化规律,所得到的结果与相应文献报道相吻合。
- 非对称Ⅲ型界面裂纹 /
- 动态扩展 /
- 复变函数 /
- 自相似函数 /
- 解析解
Abstract: By the methods of the theory of complex functions, dynamic propagation problems concerning asymmetrical mode Ⅲ interface crack are studied. Asymmetrical dynamic propagation problems under the action of variable loads （Px/t） and （P³t/x²） located at the origin of the coordinates respectively, are resolved by the measures of self-similar functions, and the universal expressions of analytical solutions to stresses, displacements and stress intensity factors are gained. The variational rule of dynamic stress intensity factors is illustrated by the approaches of numerical computations, and the result obtained is coincident with relevant literatures.
- Asymmetrical mode Ⅲ interface crack /
- Dynamic propagation /
- Complex functions /
- Self-similar functions /
- Analytical solutions